4314750574134 has 1152 divisors, whose sum is σ = 13105207987200. Its totient is φ = 941525544960.

The previous prime is 4314750574133. The next prime is 4314750574159.

4314750574134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314750574133) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26470862337 + ... + 26470862499.

It is an arithmetic number, because the mean of its divisors is an integer number (11376048600).

Almost surely, 2^{4314750574134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314750574134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552603993600).

4314750574134 is an abundant number, since it is smaller than the sum of its proper divisors (8790457413066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4314750574134 is a wasteful number, since it uses less digits than its factorization.

4314750574134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

It can be divided in two parts, 4314750 and 574134, that added together give a palindrome (4888884).

The spelling of 4314750574134 in words is "four trillion, three hundred fourteen billion, seven hundred fifty million, five hundred seventy-four thousand, one hundred thirty-four".